Is there a picture to go with the question?
Answer:
Explanation:
Alright so the way to do this is to use properties of integrals to make our life easier.
So we have:

So lets break this up into two different integrals that represent the same area.

Lets think about what is going on up there. The integral from four to zero gives us the area under the curve of f(x) from four to zero. If we subtract this from the integral from one to zero (the area under f from one to zero) we are left with the area under f from four to one! Hence:

But since we have these values we can say that:
-3 - 2 = -5
Which means that
= -5
So now we can evaluate 
Lets first break up our integrand into two integrals
= 
Now we can evaluate this:
We know that
= -5
So:
where x is evaluated at 4 to 1 so
-15 + 2(3)
So we are left with -15 + 6 = -9
Answer:
Select the correct answer from each drop-down menu.
What tools and techniques of costume design should be used?
Donald, a costume designer, is working on a film production. For the lead female actor, he needs to alter the size of a waistcoat; in other words, he is altering
the costume for the actor. For another actor, he needs to make a pair of new leather boots look like they have been worn for many years. To do this, he uses the technique of
ageing
.
Explanation:
I think thats the answer let me know if they arent correct